Waves in Matter in the 0 Gauge (a) Find a gauge function that makes (r, t) 0 a valid choice of gauge (b) Derive the (generalized) inhomogeneous wave equation in matter (,) satisfied by the vector potential in the 0 gauge There is no free charge or free current anywhere (c) Find the dispersion relation for plane wave solutions for the equation in part (b) Do waves with k A differ from waves with k A

Question: Waves in Matter in the = 0 Gauge (a) Find a gauge function that makes (r, t) = 0 a valid choice of gauge.

Waves in Matter in the ϕ = 0 Gauge
(a) Find a gauge function that makes ϕ(r, t) = 0 a valid choice of gauge.
(b) Derive the (generalized) inhomogeneous wave equation in matter (μ,) satisfied by the vector potential in the ϕ = 0 gauge. There is no free charge or free current anywhere.
(c) Find the dispersion relation for plane-wave solutions for the equation in part (b). Do waves with k ⊥ A differ from waves with k ΙΙ A?

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